Lecture 14

October 1, 2004

 

Review of Static Electric Fields – II

 

Conductors in Static Electric Field

 

Inside a Conductor

Boundary Conditions at a Conductor/Free space Interface:

Et = 0 and .

 

Dielectrics in Static Electric Field

where equivalent charge densities

 

Electric Flux density:

Gauss’s law:

Linear and isotropic medium:  where  is electric susceptivility.

 

Boundary Conditions: E1t=E2t   (V/m), and D1n - D2n = rs  (C/m^2)

 

Capacitance:

Parallel-plate capacitor:

Cylindrical Capacitor:

Spherical capacitor:

Electrostatic Energy

Electrostatic Energy needed to assemble a N charge system:

Electrostatic Energy in terms of Field Quantities:

Capacitance in terms of electrostatic field energy: .

 

Electrostatic Forces

System with fixed charges:.

System with fixed potentials: